6th Grade Math Textbook, Progress

Divide Decimals by 10, 100, and 1000

3-4

Find the quotients. Use the patterns.

1. 8329
   10 2. 724.8
   10 3.56.39
   10 4. 2.8
   10
   8329
   100 724.8
   100 56.39
   100 2.8
   100
   8329
   1000 724.8
   1000 56.39
   1000 2.8
   1000


2. 4.27
   10 6. 8.1
   10 7. 0.6
   10 8. 0.18
   10
   4.27
   100 8.1
   100 0.6
   100 0.18
   100
   4.27
   1000 8.1
   1000 0.6
   1000 0.18
   1000

Eddie divided six decimals by 10, 100, and 1000 and discovered

some patterns.

637. 4 
 0010  63. 74 53. 8 
 0010  5. 38 8. 7 
 0010  0. 87

637. 4 
 0100  06. 374 53. 8 
 0100  0. 538 8. 7 
 0100  0 .0 87

637. 4 
 1000  00. 6374 53. 8 
 1000  0 .0 538 8. 7 
 1000  0 .00 87

21. 76 
 0010  2. 176 6. 15 
 0010  0. 615 0. 47 
 0010  0 .0 47

21. 76 
 0100  0. 2176 6. 15 
 0100  0 .0 615 0. 47 
 0100  0 .00 47

21. 76 
 1000  0 .0 2176 6. 15 
 1000  0 .00 615 0. 47 
 1000  0 .000 47

He used these patterns to help him divide by 10, 100, and 1000.

To divide a decimal by 10, 100, or 1000:


Count the number of zeros in the divisor.


Move the decimal point to the leftone place

in the dividend for each zero in the divisor.


Write zeros in the quotient as needed.

Study these examples.

6 8.4
 10  6 .8 4 1 zero: Move 1 place to the left.

2 68.7
 1 0 0 2 .6 8 7^2 zeros: Move^2 places to the left.

0 3 2.5
 1 0 0 0 0 .0 3 2 5^3 zeros: Move^3 places to the left.

Write 1 zero as a placeholder.

0 01.8 2 
 1 0 0 0 0 .0 0 1 8 2^3 zeros: Move^3 places to the left.

Write 2 zeros as placeholders.

2.0

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